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Geometry Terms IM1 Ch 8
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Different terms, postulates, and theorems for IM1 Geometry Topics
Key Concepts:
Terms in this set (37)
Point
An exact location represented by a dot, has no dimensions.
Line
A straight path that goes without end in two directions.
Plane
An endless flat surface with two dimensions.
Colinear
Existing on the same line, for example, three points on a line.
Coplaner
points that lie on the same plane
Line Segment
part of a line with two endpoints
Endpoints
points on the ends of line segments or rays
Ray
A part of a line, with one endpoint, that continues without end in one direction
Opposite Rays
two rays that have a common endpoint and form a line
Ruler Postulate
The points on a line can be matched with the real numbers, which can be used to find the distance between two points.
Congruent Segments
line segments that have the same length
Segment Addition Postulate
If B is between A and C, then AB + BC = AC
segment bisector
any segment, line, or plane that intersects a segment at its midpoint
midpoint
A point that divides a segment into two congruent segments
Distance
The distance between two coordinate pairs: d = √[( x₂ - x₁)² + (y₂ - y₁)²]
convex
having an outline or surface curved like the exterior of a circle or sphere.
concave
having an outline or surface that curves inward like the interior of a circle or sphere.
circumscribed circle
the circle that contains the vertices of an inscribed polygon
Perimeter
the sum of the lengths of the sides of a polygon
Area of a Triangle
A=bh/2
angle bisector
a ray that divides an angle into two congruent angles
Complementary
Two angles whose sum is 90 degrees
Supplementary
Two angles whose sum is 180 degrees
linear pair
A pair of adjacent angles whose noncommon sides are opposite rays.
Adjacent angles
Angles that have a common side and a common vertex (corner point).
Vertical Angles
two nonadjacent angles formed by two intersecting lines
acute angle
an angle that measures less than 90 degrees
obtuse angle
An angle that measures more than 90 degrees but less than 180 degrees
right angle
an angle that measures 90 degrees
perpendicular
Intersecting at or forming right angles
Two Point Postulate
Through any two points there exists exactly one line
Line-Point Postulate
A line contains at least two points
Line Intersection Postulate
If two lines intersect, then their intersection is exactly one point
Three Point Postulate
Through any three noncollinear points there exists exactly one plane
Plane-Point Postulate
A plane contains at least three noncollinear points
Plane-Line Postulate
If two points lie in a plane, then the line containing them lies in the plane
Plane Intersection Postulate
If two planes intersect, then their intersection is a line.
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